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Finding the Third Proportional to 51,696 and 115,083

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Solution

The third proportional to 51,696 and 115,083 is: 256,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,696 : 115,083 = 115,083 : x
  2. Step 2: Convert to fraction form
    51,696/115,083 = 115,083/x
  3. Step 3: Cross multiply
    51,696x = 115,083 × 115,083
  4. Step 4: Simplify right side
    51,696x = 13,244,096,889
  5. Step 5: Solve for x
    x = 13,244,096,889/51,696
  6. Step 6: Final answer
    x = 256,191.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.